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Decay of the Fourier Transform

Analytic and Geometric Aspects

Decay of the Fourier Transform by Alex Iosevich
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The Plancherel formula says that the L^2 norm of the function is equal to the L^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L^2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original L^2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration.​
Springer Basel; October 2014
226 pages; ISBN 9783034806251
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Title: Decay of the Fourier Transform
Author: Alex Iosevich; Elijah Liflyand
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